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京东 11.11 红包
Jack Thompson:Killing-Hopf Theorem
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https://www.youtube.com/watch?v=HgvemXNkntI Australian Geometric PDE Seminar Homepage:https://oz-geom-pde.github.io/season02/ Season 02 - 3d Ricci Flow Killing-Hopf Theorem Speaker: Jack Thompson (University of Western Australia) Date: 22 October 2021 Abstract:Jack Thompson discusses parallel transport, geodesics, the exponential map and the Killing-Hopf Theorem. Ben Andrews , Christopher Hopper——“The Ricci Flow in Riemannian Geometry——A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem”:https://doi.org/10.1007/978-3-642-16286-2 This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem. Peter Topping——“Lectures on the Ricci Flow”:https://doi.org/10.1017/CBO9780511721465 Simon Brendle——“Ricci Flow and the Sphere Theorem”——AMS——Graduate Studies in Mathematics This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic curvature. One of the major consequences of this theory is the Differentiable Sphere Theorem: a compact Riemannian manifold, whose sectional curvatures all lie in the interval (1,4], is diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it was resolved in 2007 by the author and Richard Schoen. John W. Morgan, Gang Tian——“Ricci Flow and the Poincare Conjecture”——AMS&Clay Mathematics Monographs
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Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——1
Vishnu Mangalath:Scalar maximum principle for Ricci Flow
Tim Buttsworth:Preserved curvature conditions for Ricci Flow——2
Ben Andrews:Ricci flow on surfaces
Vishnu Mangalath:Evolution of curvature for the Ricci Flow
James Stanfield:Background on differential geometry——1
Max Hallgren:Tensor Maximum Principle——1
Ben Andrews:Ricci flow on the two-sphere——1
Jack Thompson:Ricci solitons
Ben Andrews:Harmonic functions of polynomial growth——2
Max Hallgren:Tensor maximum principle——2
Vishnu Mangalath:Estimates for Mean Curvature Flow in R^3
Devesh Rajpal:Asymptotic Convexity in MCF——1
Vishnu Mangalath:The Haslhofer-Kleiner Gradient Estimate
Xintao Luo:Short Time Existence for the Ricci Flow——2
Kyle Broder:Kähler-Ricci flow and the Wu-Yau theorem——2
Devesh Rajpal:Asymptotic Convexity in MCF——2
Kyeongsu Choi:Ancient solutions of the heat equation of semi-linear equations
Ben Andrews:Harmonic functions with polynomial growth——1
James Stanfield:Background on differential geometry——2
Timothy Buttsworth:An Introduction to Ancient Ricci Flows
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——3
Mat Langford:Ancient Solutions of Geometric Flows
Adam Thompson:The Second Fundamental Form at Singularities of MCF
Otis Chodosh:Minimizers in Gamow s liquid drop model
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——2
Camillo De Lellis:C^0 convex Integration for Incompressible Euler——4
Yong Wei:Curvature measures and volume preserving curvature flow——1
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——2
【CRM】Simon Brendle:Singularity models in 3D Ricci flow
Adam Thompson:Convexity and Huisken's Convergence Theorem
Kyeongsu Choi:Ancient mean curvature flows and singularity analysis
Gunhee Cho:Calabi conjecture的Kähler-Ricci flow方法和Kähler–Einstein metric的存在
Aaron Naber:Nonlinear Harmonic Maps and the Energy Identity
James Stanfield:Necks in Mean Curvature Flow
Vishnu Mangalath:Gradient Estimates in Mean Curvature Flow——1
Stepan Hudecek:Mean Curvature Flow with surgery——2
Rotem Assouline:Brunn-Minkowski inequalities for sprays on surfaces
Camillo De Lellis:Boundary regularity of minimal surfaces
Glen Wheeler:Ancient solutions of the heat equation with polynomial growth——1